SOLUTION: Find the exact value of the expression sin^-1(tan 5pi/4)

Question 727492: Find the exact value of the expression sin^-1(tan 5pi/4)

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
and since tangent has a period of

(in radians) is , half of a right angle.

You should know (or quickly figure out)
sine, cosine, and tangent of , and ,
because a right triangle with and angles is half of an equilateral triangle,
and a right triangle with two angles (an isosceles right triangle) is half of a square.

and
So
and you should know that
The angle between 0 and with a sine of 1 is and that is sin^-1(tan(5pi/4))
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